Abstract

Motivated by experimental limitations commonly met in
the design of solid state quantum computers, we study the
problems of non–local Hamiltonian simulation and non–local
gate synthesis when only homogeneous local unitaries are performed
in order to tailor the available interaction. Homogeneous
(i.e. identical for all subsystems) local manipulation
implies a more refined classification of interaction Hamiltonians
than the inhomogeneous case, as well as the loss of universality
in Hamiltonian simulation. For the case of symmetric
two–qubit interactions, we provide time–optimal protocols for
both Hamiltonian simulation and gate synthesis.